📝 Properties Of The Indefinite Integral

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Properties Of The Indefinite Integral. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. Which of the following is a fundamental property of indefinite integrals?

🔹 A. Linearity

🔹 B. Product rule

🔹 C. Chain rule

🔹 D. Quotient rule

💡 Difficulty: easy | ✅ Correct: A

Q2. A particle moves with velocity \(v(t) = 3t^2 - 4t + 5\). Find its position \(s(t)\) given \(s(0) = 2\).

🔹 A. \(s(t) = t^3 - 2t^2 + 5t + 2\)

🔹 B. \(s(t) = t^3 - 2t^2 + 5t\)

🔹 C. \(s(t) = t^3 - 2t^2 + 5t - 2\)

🔹 D. \(s(t) = t^3 - 2t^2 + 5t + 0\)

💡 Difficulty: medium | ✅ Correct: A

Q3. A function \(f\) satisfies \(\int f(x) \, dx = \ln|x| + C\). Which could be \(f(x)\)?

🔹 A. \(1/x\)

🔹 B. \(x\)

🔹 C. \(-1/x\)

🔹 D. \(x^2\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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